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G7 revision (probability and fractions)

Total questions: 159

Worksheet time: 40hrs 45mins

Name
Class
Date
1.
A bag of markers has 4 red markers, 5 blue markers, 3 yellow markers, and 3 green markers. If Maria pulls out a marker without looking, what is the probability he will NOT pull out a blue marker?
a)
5/10
b)
1/3
c)
4/15
d)
2/3
2.
A bag of markers has 4 red markers, 5 blue markers, 3 yellow markers, and 3 green markers. If Maria pulls out a marker without looking, what is the probability he will NOT pull out a blue marker?
a)
5/10
b)
1/3
c)
4/15
d)
2/3
3.
A small bag of jelly beans contains 2 lemons, 4 cherry, 1 lime, and 3 blueberry jelly beans. If Jessica chooses a jellybean without looking, what is the probability it will be cherry or blueberry?
a)
3/10
b)
7/10
c)
1/2
d)
1/4
4.
Jose randomly selected a block like the ones shown from a bag.  What is the probability that he will choose a cube with a number less than 5?
a)
⅔
b)
⅙
c)
⅓
d)
⅚
5.
The following M & M colors are in the bowl:
4 yellow, 6 orange, 3 green, 5 blue, 2 brown
What is the probability of selecting a brown candy?
a)
2/18
b)
1/9
c)
2/20
d)
1/10
6.
A number is randomly selected from 0-10. What is the probability the number selected is greater than 5?
a)
1/2
b)
3/5
c)
2/5
d)
5/11
7.
Kaylee has 1 red, 3 blue, 2 brown,
5 black, 1 purple, and 4 pairs of pink flip-flops in her closet. Assuming she always replaces them, what is the probability that she will choose a blue pair on Monday and a pink pair on Tuesday? 
a)
3/8
b)
4/75
c)
3/64
d)
15/32
8.
Sam is fishing in a new catch and release pond that was just stocked with 32 bluegill, 49 catfish, 27 bass, and 12 carp. He catches a fish, releases it, then catches another. What is the probability that he caught a bluegill, then a carp? 
a)
5/24
b)
11/30
c)
2/75
d)
7/60
9.
Jacob's piggy bank has18 quarters, 20 dimes, 24 nickels, and 43 pennies. He chooses a coin, does not replace it, then chooses another. What is the probability that he chose a dime then
a nickel? 
a)
9/52
b)
4/91
c)
44/105
d)
11/26
10.
A fruit basket contains
9 apples, 3 bananas, 7 oranges, 5 pears, and 1 grapefruit. Kyle randomly chooses a fruit, does not replace it, then chooses another. What is the probably that he chose two pears? 
a)
9/49
b)
4/125
c)
1/10
d)
1/30
11.
A chorus has 50 girls and 35 boys. If two are chosen at random to sing a duet, what is the probability that both will be boys? 
a)
1/6
b)
7/17
c)
3/8
d)
13/25
12.
Determine whether the event is impossible, unlikely, as likely as not, likely, or certain. You flip a fair coin and the coin will land heads up.
a)
impossible
b)
unlikely
c)
even chance
d)
likely
13.
What is the probability of rolling 15 with a pair of dice?
a)
impossible
b)
unlikely
c)
equally likely
d)
likely
14.
What is the probability of spinning the spinner and landing on the 7?
a)
impossible
b)
equally likely 
c)
unlikely 
d)
very likely 
15.
What is the probability of spinning an odd number? 
a)
even chance
b)
likely 
c)
certain
d)
impossible 
16.
A probability near 1 is _______.
a)
never going to happen 
b)
very likely to happen
c)
probably never going to happen
d)
 equally likely to happen
17.
Probability can be expressed as a number between_____ and _____.
a)
0 and 100
b)
0 and 10
c)
0 and 1
d)
-1 and 1
18.
Probability can be written as ...
a)
a fraction
b)
a decimal
c)
a percent
d)
all of the above
19.
What is the probability of rolling a cube and having it land as a six?
a)
1/6
b)
5/6
c)
1/3
d)
1/2
20.
What is the probability of rolling a cube and having land as an odd number?
a)
3/4
b)
1/3
c)
1/2
d)
2/5
21.
The probability of it raining today is 30%.  What is the probability that it will NOT rain?
a)
30%
b)
70%
c)
100%
d)
0%
22.
A bag has 3 red marbles, 2 blue and 4 yellow. What is the theoretical probability of pulling a red?
a)
3/10
b)
3/9
c)
1/9
d)
3/8
23.
What is the probability of spinning red?
a)
0
b)
5/12
c)
1/2
d)
3/4
24.
What is the probability of spinning green or blue?
a)
0
b)
5/12
c)
1/2
d)
3/4
25.
If you choose from the following M & M colors, what is the probability that you choose blue?
5 green
6 yellow
8 blue
7 brown
a)
8/26
b)
7/26
c)
8/25
d)
1/3
26.
Find the probability of not rolling a 2 on a single die.
a)
1/6
b)
2/6
c)
5/6
d)
2
27.
Find the experimental probability:
Roll dice:  1, 3, 3, 4, 4
Rolling a 1?
a)
3/5
b)
1/6
c)
2/5
d)
1/5
28.
What is the Theoretical Probability of landing on red?
a)
43%
b)
33.3%
c)
40%
d)
36%
29.
Looking at those who do not bike to school, what is the relative frequency (to the nearest percent) of boys?
a)
4%
b)
14%
c)
13%
d)
29%
30.
A survey explored the relationship between gender and band class. Which is a reasonable conclusion?
a)
There are more band members than non-band members
b)
There are more boys in the class than girls
c)
There are more boys in band than not in band
d)
More than half of the bands members in the class are girls
31.
What is the relative frequency of people that purchased no food?
a)
10%
b)
60%
c)
15%
d)
30%
32.

There are 10 counters in a bag, 3 red and 7 blue.


I take one counter, then another without replacement.

Find the probability of the value marked x

a)

7/10

b)

3/10

c)

6/9

d)

2/9

33.

There are 10 counters in a bag, 3 red and 7 blue.


I take one counter, then another without replacement.

Find the probability of the value marked y

a)

7/10

b)

3/10

c)

6/9

d)

2/9

34.

There are 10 counters in a bag, 3 red and 7 blue.


I take one counter, then another without replacement.

Find the probability of the value marked w

a)

7/10

b)

3/10

c)

6/9

d)

2/9

35.

There are 10 counters in a bag, 3 red and 7 blue.


I take one counter, then another without replacement.

Find the probability of picking two red counters.

a)

6/90

b)

5/19

c)

47/90

d)

2/9

36.

There are 10 counters in a bag, 3 red and 7 blue.


I take one counter, then another without replacement.

Find the probability of picking one of each colour counters.

a)

21/90

b)

48/90

c)

42/90

d)

10/19

37.

Bert & Ernie choose a juice to have for breakfast.

The probability that Bert chooses orange is 3/4.

If Bert chooses orange, the probability that Ernie chooses orange is 4/5.

If Bert chooses apple the probability that Ernie chooses apple is 2/3.

Find the value of the probability marked c.

a)

1/4

b)

1/5

c)

1/3

d)

3/4

38.

Bert & Ernie choose a juice to have for breakfast.

The probability that Bert chooses orange is 3/4.

If Bert chooses orange, the probability that Ernie chooses orange is 4/5.

If Bert chooses apple the probability that Ernie chooses apple is 2/3.

Find the value of the probability marked d.

a)

1/4

b)

1/5

c)

1/3

d)

3/4

39.

Bert & Ernie choose a juice to have for breakfast.

The probability that Bert chooses orange is 3/4.

If Bert chooses orange, the probability that Ernie chooses orange is 4/5.

If Bert chooses apple the probability that Ernie chooses apple is 2/3.

Find the value of the probability marked e.

a)

1/4

b)

1/5

c)

1/3

d)

3/4

40.

Bert & Ernie choose a juice to have for breakfast.

The probability that Bert chooses orange is 3/4.

If Bert chooses orange, the probability that Ernie chooses orange is 4/5.

If Bert chooses apple the probability that Ernie chooses apple is 2/3.

What is the probability that both Bert & Ernie choose orange juice?

a)

12/20

b)

3/9

c)

2/12

d)

7/9

41.

Bert & Ernie choose a juice to have for breakfast.

The probability that Bert chooses orange is 3/4.

If Bert chooses orange, the probability that Ernie chooses orange is 4/5.

If Bert chooses apple the probability that Ernie chooses apple is 2/3.

What is the probability that Bert & Ernie choose different juices?

a)

3/20

b)

1/12

c)

14/60

d)

19/60

42.

Two dice are rolled and it is recorded whether the result on each is odd or even. What is the probability both are odd?

a)

1/4

b)

1/2

c)

2/4

d)

3/4

43.

A tree diagram is useful in determining the __________of a probability experiment.

a)

result

b)

possible outcomes

c)

event

d)

none of the above

44.

Two dice are rolled and it is recorded whether the result on each is odd or even. What is the probability that one is even and one is odd?

a)

1/2

b)

1/4

c)

3/4

d)

1/3

45.

A bag has 3 red marbles, 2 blue and 4 yellow. What is the probability of choosing a red marble?

a)

3/10

b)

3/9

c)

1/9

d)

1/3

46.

What is the probability of choosing a red marble

out of a jar of marbles of 10 green marbles, 7 red marbles and 3 blue marbles?

a)

1/7

b)

7/20

c)

7/10

d)

3/10

47.

What is the probability of choosing a yellow balloon?

a)

2/10

b)

3/10

c)

1/10

d)

2/11

48.

What is the probability of choosing a pink balloon?

a)

1/9

b)

1/10

c)

2/9

d)

1/3

49.

What is the probability of choosing a blue counter?

a)

3/12

b)

1/3

c)

1/10

d)

3/9

50.

What is the probability of choosing a pink counter?

a)

2/9

b)

2/10

c)

1/3

d)

1/4

51.

What is the probability of not choosing a red counter?

a)

3/8

b)

1/3

c)

5/8

d)

3/5

52.

What is the probability of choosing a green counter?

a)

0

b)

1

c)

1/2

d)

3/9

53.

Write the mixed number as an improper fraction

3 4/9

(a)  

54.

Write the mixed number as an improper fraction

2 3/5

(a)  

55.

Compare these fractions

1/5 3/5

a)

=

b)

<

c)

>

56.
Reduce the following fraction:
16/20 =
a)
8/10
b)
4/5
c)
1/2
d)
16/20
57.

Compare fractions

5/6____1/2

a)

<

b)

>

c)

=

58.
Reduce the following fraction:
36/44
a)
9/11
b)
6/7
c)
4/9
d)
18/22
59.

Compare these fractions

5/6 5/6

a)

>

b)

<

c)

=

60.

Compare fractions

7/8______9/10

a)

<

b)

>

c)

=

61.

Compare these fractions

1/ 8 8/8

a)

<

b)

=

c)

>

62.

5/6______3/4

a)

<

b)

>

c)

=

63.

Write the mixed number as an improper fraction

7 5/11

(a)  

64.

Write the mixed number as an improper fraction

2 1/4

(a)  

65.

Write the mixed number as an improper fraction

5 6/7

(a)  

66.

MIXED FRACTION ADDITIONS

6 2/8 + 5 4/8

a)

11 3/4

b)

11 6/8

c)

1 3/8

d)

10 6/8

67.
a)
<
b)
>
c)
=
68.

Which symbol is correct for these two fractions?

a)

>

b)

<

c)

=

69.

Write the improper fraction as a mixed number

22/3

a)

7 2/3

b)

7 1/3

c)

7 1/4

d)

7 3/4

70.

Compare these fractions

1/ 8 8/8

a)

<

b)

=

c)

>

71.
Is the fraction 1/3 equivalent to 4/12?
a)
Yes
b)
No
72.

Compare fractions

5/6____1/2

a)

<

b)

>

c)

=

73.
Find the fraction equivalent to 1/4
a)
4/6
b)
2/8
c)
5/3
d)
1/2
74.
Look at the shaded model.  Which number sentence is true?
a)
3/8>5/8
b)
4/8<3/8
c)
3/8<4/8
d)
3/8<5/8
75.

Compare fractions

7/8______9/10

a)

<

b)

>

c)

=

76.

These are fractions with the same denominators

a)

similar fractions

b)

dissimilar fractions

c)

mixed fraction

77.

SUBTRACTION MIXED FRACTION

9 7/8 - 2 5/8

a)

7 2/8

b)

2 8/8

c)

7 1/4

d)

3 2/8

78.

Write the improper fraction as a mixed number

36/4

a)

9 1/4

b)

9 3/4

c)

8 4/4

d)

9

79.

Write the improper fraction as a mixed number

36/4

a)

9 1/4

b)

9 3/4

c)

8 4/4

d)

9

80.

35×23\frac{3}{5}\times\frac{2}{3}  

a)

2

b)

25\frac{2}{5}  

c)

3

81.

Write the improper fraction as a mixed number

223\frac{22}{3}  .

a)

7 23\frac{2}{3}  

b)

7 14\frac{1}{4}  

c)

7 13\frac{1}{3}  

d)

7 34\frac{3}{4}  

82.

Fully simplify this fraction...

a)

1/5

b)

1/2

c)

2/5

d)

1/10

83.

Fully simplify this fraction...

a)

1/4

b)

1/3

c)

2/6

d)

1/2

84.

Fully simplify this fraction...

a)

1/5

b)

1/4

c)

2/10

d)

2/5

85.

Fully simplify this fraction...

a)

1/2

b)

1/3

c)

1/14

d)

1/7

86.

Fully simplify this fraction...

a)

2/3

b)

4/6

c)

1/3

d)

3/4

87.

Fully simplify this fraction...

a)

2/3

b)

4/6

c)

8/12

d)

3/4

88.

Fully simplify this fraction...

a)

2/3

b)

4/6

c)

3/5

d)

10/15

89.

Fully simplify this fraction...

a)

2/3

b)

4/6

c)

3/5

d)

3/4

90.

Fully simplify this fraction...

a)

150/250

b)

6/10

c)

3/5

d)

60/100

91.

Fully simplify this fraction...

a)

21/27

b)

7/9

c)

3/4

d)

14/18

92.

Fully simplify this fraction...

a)

15/20

b)

3/4

c)

9/12

d)

22/30

93.

Fully simplify this fraction...

a)

9/20

b)

6/16

c)

2/7

d)

3/5

94.
a)

2/5

b)

1/10

c)

2/10

d)

1/7

95.
a)

3/6

b)

3/8

c)

4/8

d)

4/6

96.
a)

4/9

b)

3/9

c)

3/20

d)

4/20

97.
a)

2/6

b)

2/9

c)

1/9

d)

1/6

98.
a)

6/12

b)

5/8

c)

6/8

d)

5/12

99.
a)

3/16

b)

3/8

c)

4/16

d)

4/8

100.
a)

3/10

b)

3/21

c)

2/10

d)

2/21

101.
a)

5/24

b)

5/11

c)

6/24

d)

5/11

102.
a)

1/3

b)

2/5

c)

3/6

d)

3/5

103.
a)

1/4

b)

3/7

c)

4/7

d)

4/12

104.
a)

3/12

b)

4/20

c)

3/20

d)

4/12

105.
a)

3/9

b)

3/20

c)

2/9

d)

1/10

106.
a)
5/14
b)
3/7
c)
5/7
d)
5/14
107.
a)
3/10
b)
3/5
c)
3/25
d)
15/5
108.
Kayden has 3/9 of a pizza and Laila gave her 2/9 of a pizza.  How much pizza does Kayden have now?
a)
5 Pizzas
b)
5/9 of a pizza
c)
1/9 of a pizza
d)
1 pizza
109.
Brad ate 3/4 of his Kit-Kat bar and gave the rest to Cole.  How much of the Kit-Kat bar did Cole get to eat?
a)
3/4
b)
1/4
c)
2/4
d)
None
110.
The number on the top of a fraction is called what?
a)
numerator
b)
denominator
c)
fractionator
d)
equivalent
111.
A pizza has 5 pieces. Sara eats 3 of the pieces. What fraction of the pizza did Sara eat?
a)
3/5
b)
2/5
c)
5/5
d)
1/5
112.
What is the sum in simplest form?
2/7 + 4/7
a)
6/14
b)
1/2
c)
2/3
d)
6/7
113.
Simplify  18/24  to lowest terms.
a)
4/3
b)
9/12
c)
3/4
d)
1/2
114.
Is this a correct answer?
a)
Yes, the student correctly added.
b)
No, you cannot add unlike denominators
c)
No, 5 + 7 is not 12
d)
No, 2 + 3 is not 5
115.
Convert the mixed fraction to a improper fraction.
a)
27 /7
b)
21 /7
c)
31 /7
d)
41/7
116.
Convert the mixed fraction to a improper fraction.
a)
22 /9
b)
20/9
c)
31 / 9
d)
4/6
117.
a)
5 1/2
b)
1 1/6
c)
5 5/14
d)
4 19/24
118.
6  1/4  -  2  3/4 
a)
3   1/2
b)
3  3/4
c)
4  1/2
d)
4   1/4
119.
10  3/4
-7  1/4
________
a)
3  1/4
b)
4  1/2
c)
3  1/2
d)
18
120.

Evaluate...


Write your answer as a mixed number in the simplest form...

a)

5 2/5

b)

6 1/5

c)

5 3/5

d)

6 2/5

121.

Evaluate...


Write your answer as a mixed number in the simplest form...

a)

1 5/9

b)

1 6/9

c)

14/9

d)

15/9

122.

Evaluate...


Write your answer as a mixed number in the simplest form...

a)

1 3/11

b)

1 2/11

c)

11/8

d)

8/11

123.

Evaluate...


Write your answer as a mixed number in the simplest form...

a)

4 4/7

b)

5 4/7

c)

32/7

d)

56/4

124.

Evaluate...


Write your answer as a mixed number in the simplest form...

a)

2 1/10

b)

2 2/10

c)

21/10

d)

22/10

125.

Evaluate...


Write your answer as a mixed number in the simplest form...

a)

2 8/10

b)

2 4/5

c)

28/10

d)

22/10

126.

Evaluate...


Write your answer as a mixed number in the simplest form...

a)

6 3/7

b)

6 4/7

c)

45/7

d)

54/7

127.

Evaluate...


Write your answer as a mixed number in the simplest form...

a)

4 1/6

b)

6 1/6

c)

25/6

d)

4 2/3

128.

Evaluate...


Write your answer as a mixed number in the simplest form...

a)

6 4/6

b)

6 2/3

c)

40/6

d)

20/3

129.

Evaluate...


Write your answer as a mixed number in the simplest form...

a)

2 3/4

b)

2 9/12

c)

33/12

d)

11/4

130.

Evaluate...


Write your answer in the simplest form...

a)

5/21

b)

5/28

c)

15/21

d)

15/7

131.

Evaluate...


Write your answer in the simplest form...

a)

3/32

b)

3/28

c)

24/32

d)

24/4

132.

Evaluate...


Write your answer in the simplest form...

a)

5/18

b)

5/16

c)

5/14

d)

10/9

133.

Evaluate...


Write your answer in the simplest form...

a)

1/15

b)

1/8

c)

5/3

d)

5/15

134.

Evaluate...


Write your answer in the simplest form...

a)

2/35

b)

2/12

c)

9/5

d)

14/5

135.

Evaluate...


Write your answer in the simplest form...

a)

7/96

b)

7/94

c)

7/84

d)

7/86

136.

Evaluate...


Write your answer in the simplest form...

a)

6/35

b)

6/36

c)

1/6

d)

30/7

137.

Evaluate...


Write your answer in the simplest form...

a)

7/35

b)

7/40

c)

7/45

d)

7/30

138.

Evaluate...


Write your answer in the simplest form...

a)

10/66

b)

5/33

c)

10/60

d)

1/6

139.

Evaluate...


Write your answer in the simplest form...

a)

3/24

b)

1/8

c)

1/7

d)

3/28

140.

Find the product in simplest form.


5/6 x 3/4=

a)

15/24

b)

5/8

c)

8/10

d)

4/5

141.
Multiply
a)
6
b)
4 / 45
c)
20
d)
7 /45
142.
a)

5/14

b)

6/14

c)

7/17

d)

8/14

143.

Divide

a)

1

b)

6/11

c)

6/5

d)

11/5

144.
a)

456\frac{45}{6}

b)

7 367\ \frac{3}{6}

c)

2 7102\ \frac{7}{10}

d)

2710\frac{27}{10}

145.
a)

55

b)

59\frac{5}{9}

c)

153\frac{15}{3}

d)

95\frac{9}{5}

146.
a)


44

b)

45\frac{4}{5}

c)

65\frac{6}{5}

d)

55

147.
a)

6 166\ \frac{1}{6}

b)

436\frac{43}{6}

c)


8 168\ \frac{1}{6}

d)

5 155\ \frac{1}{5}

148.
Convert to a mixed number: 
a)
4 2/5
b)
3 9/5
c)
4 4/5
d)
4/5
149.
Convert to an improper fraction.
a)
8/5
b)
11/5
c)
11/2
d)
2/5
150.

A batch of oatmeal muffins calls for 23\frac{2}{3} cups of oats. How many cups of oats do you need to make four batches of muffins?

a)

22  cups

b)

212 \frac{2}{12}\ cup

c)

4234\frac{2}{3} cups

d)

2232\frac{2}{3} cups

151.

Kelly has 2122\frac{1}{2}  feet of fabric.   She needs  14\frac{1}{4} foot to make each ribbon.  How many ribbons can Kelly make?

a)

5

b)

58\frac{5}{8}  

c)

10

d)

12

152.

Estimate the product.

a)

about 20

b)

about 15

c)

about 24

d)

about 8

153.

13 ×38\frac{1}{3\ }\times\frac{3}{8}  

a)

98\frac{9}{8}  

b)

18\frac{1}{8}  

c)

39\frac{3}{9}  

d)

13\frac{1}{3}  

154.


1 13  ×671\ \frac{1}{3\ \ }\times\frac{6}{7}  

a)

1 271\ \frac{2}{7}  

b)

1 591\ \frac{5}{9}  

c)

1 6211\ \frac{6}{21}  

d)

1 171\ \frac{1}{7}  

155.

37 ÷27\frac{3}{7\ }\div\frac{2}{7}  

a)

649\frac{6}{49}  

b)

1 121\ \frac{1}{2}  

c)

17\frac{1}{7}  

d)

67\frac{6}{7}  

156.
1/4 ÷ 2 = 
a)
8
b)
1/8
c)
12
d)
1/12
157.
Write the improper fraction as a mixed number in simplest form.
14/6
a)
16/8
b)
21/3
c)
22/6
d)
14/6
158.
Simplify 
a)
1/4
b)
1/24
c)
6/4
d)
1/18
159.
Change the improper fraction to a mixed number.
a)
1     1/10
b)
2      1/2
c)
2     2/5
d)
2      1/4

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